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Finding the Fourth Proportional to 586.03, 879.10 and 153.19

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Solution

The fourth proportional to 586.03, 879.10 and 153.19 is: 229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.03 : 879.10 = 153.19 : x
  2. Step 2: Convert to fraction form
    586.03/879.10 = 153.19/x
  3. Step 3: Cross multiply
    586.03x = 879.10 × 153.19
  4. Step 4: Simplify right side
    586.03x = 134,666.75
  5. Step 5: Solve for x
    x = 134,666.75/586.03
  6. Step 6: Final answer
    x = 229.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.